4) A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The figure below shows a graph of its velocity vx as a function of time t. (a) Find the period, (b) Find the frequency and (c) the angular frequency of this motion (d) What is the amplitude (in cm) and at what times does the mass reach this position? (e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the lass m? vx (cm/s) 20 10 -10 0.2 0.6 1.0 1.4 1.8 -20

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.52P: A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where...
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4) A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The figure below
shows a graph of its velocity vx as a function of time t.
(a) Find the period, (b) Find the frequency and (c) the angular frequency of this motion
(d) What is the amplitude (in cm) and at what times does the mass reach this position?
(e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the lass m?
vx (cm/s)
20
10
-10
0.2 0.6 1.0 1.4 1.8
-20
Transcribed Image Text:4) A mass m is attached to a spring of force constant 75.0N/m and allowed to oscillate. The figure below shows a graph of its velocity vx as a function of time t. (a) Find the period, (b) Find the frequency and (c) the angular frequency of this motion (d) What is the amplitude (in cm) and at what times does the mass reach this position? (e) Find the maximum acceleration of the mass and the times at which it occurs. (f) What is the lass m? vx (cm/s) 20 10 -10 0.2 0.6 1.0 1.4 1.8 -20
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